Catholics aare, by nature, not a denomination...they are the true church and those fallen away are denominations. The Eastern schism did not change either group as far as their authenticity is concerned. The various split away groups that you refer to are "protestants in training" The Roman church and the various Orthodox, Russian etc.,are all within the catagory of TRUE church.
Your argument isn't with me. Take it up with the Catholic-cited source that says there are 35,000 "Christian denominations." Both claims herald from the same Catholic-cited source. If you're going to accept one, you have to accept both.